Question

Is negative thigmotropism and thigmonasty both are same and if not how it is differ from each other

Answer 1

nothey both are different.

Answer 2

Thigmotropism is the directional response of a plant organ to touch or physical contact with a solid object. This directional response is generally caused by the induction of some pattern of differential growth. This phenomenon is clearly illustrated by the climbing tendrils of some plants, such as the sweet pea.
And
Thigmontansy or seismonasty is the nastic response of a plant or fungus to touch or vibration.